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Finding the Fourth Proportional to 407,121.30, 610,739.55 and 157,828.50

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Solution

The fourth proportional to 407,121.30, 610,739.55 and 157,828.50 is: 236,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121.30 : 610,739.55 = 157,828.50 : x
  2. Step 2: Convert to fraction form
    407,121.30/610,739.55 = 157,828.50/x
  3. Step 3: Cross multiply
    407,121.30x = 610,739.55 × 157,828.50
  4. Step 4: Simplify right side
    407,121.30x = 96,392,107,067.18
  5. Step 5: Solve for x
    x = 96,392,107,067.18/407,121.30
  6. Step 6: Final answer
    x = 236,765.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.